Which Property is illustrated by the statement?
7x(4) = (7x )4
Associative Property of Multiplications
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
The property that is illustrated by the statement "7x(4) = (7x )4" is the Commutative Property of Multiplication. This property states that the order of multiplication does not affect the result. In this case, it doesn't matter whether we multiply 7 by 4 first and then multiply the result by x, or multiply x by 4 first and then multiply the result by 7. The end result will be the same.
To understand why this statement represents the Commutative Property of Multiplication, let's break it down further.
First, we have 7x in parentheses multiplied by 4. According to the property, we can change the order of multiplication, which means we can rewrite it as 4 multiplied by 7x.
Now, we have (7x)4, where 7x is multiplied by 4. By using the Commutative Property of Multiplication, we can swap the order of multiplication and rewrite it as 4 multiplied by 7x.
So, both expressions 7x(4) and (7x)4 represent the same multiplication in a different order, validating the Commutative Property of Multiplication.